Dimension-Free Lipschitz Bounds for Brenier Maps to Compactly Supported Log-Concave Targets

Maja Gwozdz

We fix an integer $d\ge 1$ and a symmetric positive-definite matrix $Q\in {\mathbb{R}}^{d\times d}$. Let $V:{\mathbb{R}}^d\to \mathbb{R}$ be finite, set \[ Z_μ:=\int_{\mathbb{R}^d}e^{-V(x…